Jack Sparrow would win.

Han Solo and Indiana Jones cancel each other out because they cannot exist in the same universe or the same place at the same time, due to certain laws. Potter is a bitch. Jack Sparrow becomes champion by default.

Jaime Lannister (The Kingslayer; George R. R. Martin)
Rand Al'thor (The Dragon Reborn; Robert Jordan)
Roland Deschain (A gunslinger; Stephen King)
Temeraire (A dragon; Naomi Novik)

I have no idea who any of them are but Acidstorm sounds badass enough.
They're more than meets the eye.